Download Name: Period: ______ Date

Name: _______________________ Number:________
Period: ________
Order of Operations
1) 2[8 – (54 ÷ 6)]
4)
42 • 8−3 • 62
√16−22
2) 3[42 + (48 ÷ 8)]
3) 162 ÷ [2(7 – 4)2]
5) 15 + |−7| − 2 |−5 + −4|
Expressions
6) A used bookstore sells paperback fiction books in excellent condition for $2.50 and in fair
condition for $0.50. Write an expression for the cost of buying x excellent-condition paper
backs and f fair-condition paper backs.
7) Write an expression to represent the perimeter of a rectangle whose width is five less than
twice the length.
8) Write an expression to represent the sum of three consecutive integers.
9) Write an expression to represent the sum of four consecutive even integers.
Properties
10) Match the properties to the correct example.
____
____
____
____
____
(a + b) + c = c + (a + b)
a + (-a) = 0
a•b•c=b•a•c
a•0=0
𝑎
𝑏
• 𝑎=1
𝑏
____ (a + b) + c = a + (b + c)
____ a • 1 = a
____ a + 0 = a
____ (ab)c = a(bc)
A. Additive Identity
B. Multiplicative Inverse Property
C. Multiplicative Identity
D. Commutative Property of Addition
E. Additive Inverse
F. Associative Property of Addition
G. Associative Property of Multiplication
H. Multiplicative Property of Zero
I. Commutative Property of Multiplication
Equations
11)
3𝑘−7
5
= 16
13) 14 + 5n = -4n + 17
12)
3
=
12
2
𝑦+6
14) 6n – 3(-3n + 2) = -24 + 6n
15) 2(a – 8) + 7 = 5(a + 2) – 3a – 19
17)
19)
3
4
𝑥−
−8+6v
4
3
5
=
=
𝑥
4
+
2
5
3v
12
=
3b+6
18)
20)
7
5
16)
−1
2
5
𝑥+1
4
=
−4b+16
8
𝑥−4=8−
3
5
𝑥
Literal Equations
21) 15a – 6b = 2c + 13a
solve for a
22) 𝑟 =
𝑠+6𝑝
5
solve for p
23) bc + 3g = 2k, solve for c
24)
½bh = a,
solve for h
Problem solving
25) Find the value of a so that the figures have the same area.
a
8 ft
8 ft
(a + 6) ft
26) Find two consecutive odd integers who sum is 116.
27) Jared works at Target and receives an employee discount of 25% off all purchases. He
purchased a Kindle Fire and paid $300 after his employee discount. What was the original price
of the Kindle Fire?
28) Juan has a total of 92 coins in his coin collection. This is 8 more than three times the
number of quarters in the collection. How many quarters does Juan have in his collection?
The Real Number system
29) List the elements of the set: {x │-5 ≤ x < 5, x Є W}.
30) Consider this set of numbers { -7,
−6
, √49, 0, 100, |−11|,
7
48
4
, π}.
Choose all the elements of the set that are Natural numbers.
31) Graph the set that represents the following: {x │ -4 ≤ x < 6, x Є I}.
Functions
Determine whether each relation is a function. Explain.
32) {(1, 4), (2, -2), (3, -6), (-6, 3), (-3, 6)}
33) {(6, -4), (2, -4), (-4, 2), (4, 6), (2, 6)}
If f(x) = 2x – 6 and g(x) = x – 2x2, find each value.
34) g(-3) + 13
1
35) f(− 2)
If f(x) = 3x – 5 and g(x) = x2 – 3x, find each value.
36) f[g(2)]
37) 2[g(f(7)]
Quadratics
Name the domain and range for each of the following quadratic functions.
38)
39)
Name the domain and range for each relation.
40) {(2, 5), (4, -2), (3, 3), (5, 4), (-2, 5)}
41)